SOLUTIONS WITH HIGH-DIMENSIONAL SINGULAR SET, TO A CONFORMALLY INVARIANT ELLIPTIC EQUATION IN R(4) AND IN R(6)

Authors
PACARD F
Citation
F. Pacard, SOLUTIONS WITH HIGH-DIMENSIONAL SINGULAR SET, TO A CONFORMALLY INVARIANT ELLIPTIC EQUATION IN R(4) AND IN R(6), Communications in Mathematical Physics, 159(2), 1994, pp. 423-432
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
159
Issue
2
Year of publication
1994
Pages
423 - 432
Database
ISI
SICI code
0010-3616(1994)159:2<423:SWHSST>2.0.ZU;2-8
Abstract
We construct positive weak solutions to the equation -DELTA0upsilon = upsilon(n+2/n-2), where -DELTA0 denotes the conformal Laplacian on the n-sphere (n = 4,6), having singular sets of Hausdorff dimension great er than or equal to n-2/2.